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Simplifying -9x + -24 = -3(x + -8) + -6d Reorder the terms: -24 + -9x = -3(x + -8) + -6d Reorder the terms: -24 + -9x = -3(-8 + x) + -6d -24 + -9x = (-8 * -3 + x * -3) + -6d -24 + -9x = (24 + -3x) + -6d Reorder the terms: -24 + -9x = 24 + -6d + -3x Solving -24 + -9x = 24 + -6d + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + -9x + 3x = 24 + -6d + -3x + 3x Combine like terms: -9x + 3x = -6x -24 + -6x = 24 + -6d + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -6x = 24 + -6d + 0 -24 + -6x = 24 + -6d Add '24' to each side of the equation. -24 + 24 + -6x = 24 + 24 + -6d Combine like terms: -24 + 24 = 0 0 + -6x = 24 + 24 + -6d -6x = 24 + 24 + -6d Combine like terms: 24 + 24 = 48 -6x = 48 + -6d Divide each side by '-6'. x = -8 + d Simplifying x = -8 + d
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